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Finding the Third Proportional to 119,905 and 262,652

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Solution

The third proportional to 119,905 and 262,652 is: 575,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,905 : 262,652 = 262,652 : x
  2. Step 2: Convert to fraction form
    119,905/262,652 = 262,652/x
  3. Step 3: Cross multiply
    119,905x = 262,652 × 262,652
  4. Step 4: Simplify right side
    119,905x = 68,986,073,104
  5. Step 5: Solve for x
    x = 68,986,073,104/119,905
  6. Step 6: Final answer
    x = 575,339.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.